The top Republican on the House Judiciary Committee was quick to defend Barr.
"Judiciary Democrats have escalated from setting arbitrary deadlines to demanding unredacted material that Congress does not, in truth, require and that the law does not allow to be shared outside the Justice Department," said ranking member Doug Collins, R-Ga.
An NPR/PBS NewsHour/Marist poll last week found overwhelming majorities of those surveyed want to see the full report.
Barr will likely face questions about his handling of the Mueller report next month. He's scheduled to appear before the Senate Judiciary Committee on May 1 and has offered to testify before the House Judiciary Committee the following day.
Rep. Eric Swalwell, D-Dublin, who sits on the Judiciary Committee, said lawmakers and the public need to see the whole report in order to protect the integrity of U.S. elections.
"The only way to protect the ballot box going forward is to understand who worked with the Russians, what vulnerabilities exist, what the government response was and then allow us to make reforms," said Swalwell, a possible presidential contender.
But, he added, he's not expecting the attorney general to immediately cooperate.
"That would mean that this administration is doing something it's never done before which is comply and be transparent."
KQED's Ryan Levi contributed to this report.
Copyright 2019 NPR. To see more, visit https://www.npr.org